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Finding the Fourth Proportional to 951.53, 1,427.90 and 822.44

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Solution

The fourth proportional to 951.53, 1,427.90 and 822.44 is: 1,234.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.53 : 1,427.90 = 822.44 : x
  2. Step 2: Convert to fraction form
    951.53/1,427.90 = 822.44/x
  3. Step 3: Cross multiply
    951.53x = 1,427.90 × 822.44
  4. Step 4: Simplify right side
    951.53x = 1,174,350.82
  5. Step 5: Solve for x
    x = 1,174,350.82/951.53
  6. Step 6: Final answer
    x = 1,234.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.